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Finding the Third Proportional to 262,892.25 and 393,890.63

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Solution

The third proportional to 262,892.25 and 393,890.63 is: 590,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,892.25 : 393,890.63 = 393,890.63 : x
  2. Step 2: Convert to fraction form
    262,892.25/393,890.63 = 393,890.63/x
  3. Step 3: Cross multiply
    262,892.25x = 393,890.63 × 393,890.63
  4. Step 4: Simplify right side
    262,892.25x = 155,149,824,462.89
  5. Step 5: Solve for x
    x = 155,149,824,462.89/262,892.25
  6. Step 6: Final answer
    x = 590,165.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.